A rocket is fired vertically up from the ground with a resultant vertical acceleration of 10 m/s2 . The fuel is finished in 1 minute and it continues to move up

A rocket is fired vertically up from the ground with a resultant vertical acceleration of 10 m/s2 . The fuel is finished in 1 minute and it continues to move up
(a) what is the maximum height reached ?
(b) After how much time from then will the maximum height be reached ? (Take g = 10 m/s2 )